the cost of a book is one 1$ and a whole number of cents.The total cost of six copies of the book is less than 8 dollars. However, the total cost of 7 copies of the same book at the same price per book is more than 8$. what is the least a single copy of the book could cost?
Answers
Answer:
i dont know sorry !!!!!!!
Answer:
1$ 15 cents
Step-by-step explanation:
Let the cost of a book be 1$ and 'x' cents
1$ = 100 cents
Therefore, cost of a book will be 100 + x cents
Cost of 6 books will be 6(100 + x) = 600 + 6x cents
Given that cost of 6 books will be less than 8 dollars / 800 cents
=> 600 + 6x < 800
=> 6x < 800 - 600
=> 6x < 200
=> x < 200/6 [Condition 1]
Cost of 7 books will be 7(100 + x) = 700 + 7x cents
Given that cost of 7 books will be greater than 8 dollars / 800 cents
=> 700 + 7x > 800
=> 7x > 800 - 700
=> 7x > 100
=> x > 100/7 [Condition 2]
From conditions 1 and 2, we get
100/7 < x < 200/6
=> 14.29 < x < 33.33
We need the cost of book to be as minimum as possible and a whole number of cents
Therefore, x should be a whole number close to 14.29 in the given range which is 15
Therefore, the least cost of the book could be 115 cents or 1$ 15 cents